{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 458
        },
        "id": "zM6MN2TXYXhR",
        "outputId": "5b5dad9c-2f1e-4efd-f602-c52f2a057865"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Community 1: [0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21]\n",
            "Community 2: [32, 33, 2, 8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31]\n",
            "Community 3: [9]\n"
          ]
        }
      ],
      "source": [
        "import networkx as nx\n",
        "from networkx.algorithms.community import girvan_newman\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# 创建示例图（Karate Club图）\n",
        "G = nx.karate_club_graph()\n",
        "\n",
        "# 使用Girvan-Newman算法将图划分为K个社区的函数\n",
        "def girvan_newman_partition(G, K):\n",
        "    comp = girvan_newman(G)\n",
        "    limited = next(comp)\n",
        "    while len(limited) < K:\n",
        "        limited = next(comp)\n",
        "    return limited\n",
        "\n",
        "# 将图划分为K个社区\n",
        "K = 3\n",
        "communities = girvan_newman_partition(G, K)\n",
        "\n",
        "# 绘制带有社区的图\n",
        "pos = nx.spring_layout(G)\n",
        "colors = ['r', 'g', 'b', 'y', 'c', 'm']\n",
        "for i, community in enumerate(communities):\n",
        "    nx.draw_networkx_nodes(G, pos, nodelist=list(community), node_color=colors[i % len(colors)])\n",
        "nx.draw_networkx_edges(G, pos)\n",
        "nx.draw_networkx_labels(G, pos)\n",
        "plt.show()\n",
        "\n",
        "# 打印社区\n",
        "for i, community in enumerate(communities):\n",
        "    print(f\"Community {i+1}: {list(community)}\")\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import networkx as nx\n",
        "from networkx.algorithms.community import girvan_newman\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# 创建示例图（Karate Club图）\n",
        "G = nx.karate_club_graph()\n",
        "\n",
        "# 使用Girvan-Newman算法将图划分为K个社区的函数\n",
        "def girvan_newman_partition(G, K):\n",
        "    comp = girvan_newman(G)\n",
        "    limited = next(comp)\n",
        "    while len(limited) < K:\n",
        "        limited = next(comp)\n",
        "    return limited\n",
        "\n",
        "# 计算每条边的介数中心性\n",
        "edge_betweenness = nx.edge_betweenness_centrality(G)\n",
        "\n",
        "# 将图划分为K个社区\n",
        "K = 3\n",
        "communities = girvan_newman_partition(G, K)\n",
        "\n",
        "# 绘制带有社区的图\n",
        "pos = nx.spring_layout(G)\n",
        "colors = ['r', 'g', 'b', 'y', 'c', 'm']\n",
        "for i, community in enumerate(communities):\n",
        "    nx.draw_networkx_nodes(G, pos, nodelist=list(community), node_color=colors[i % len(colors)])\n",
        "nx.draw_networkx_edges(G, pos)\n",
        "nx.draw_networkx_labels(G, pos)\n",
        "plt.show()\n",
        "\n",
        "# 打印社区\n",
        "for i, community in enumerate(communities):\n",
        "    print(f\"Community {i+1}: {list(community)}\")\n",
        "\n",
        "# 打印每条边的介数中心性\n",
        "print(\"\\nEdge Betweenness Centrality:\")\n",
        "for edge, betweenness in edge_betweenness.items():\n",
        "    print(f\"Edge {edge}: {betweenness:.4f}\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "nlhmcvDIYxe1",
        "outputId": "f0aee508-e012-4533-e7b3-01e7fff863f7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Community 1: [0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21]\n",
            "Community 2: [32, 33, 2, 8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31]\n",
            "Community 3: [9]\n",
            "\n",
            "Edge Betweenness Centrality:\n",
            "Edge (0, 1): 0.0253\n",
            "Edge (0, 2): 0.0778\n",
            "Edge (0, 3): 0.0205\n",
            "Edge (0, 4): 0.0523\n",
            "Edge (0, 5): 0.0781\n",
            "Edge (0, 6): 0.0781\n",
            "Edge (0, 7): 0.0228\n",
            "Edge (0, 8): 0.0742\n",
            "Edge (0, 10): 0.0523\n",
            "Edge (0, 11): 0.0588\n",
            "Edge (0, 12): 0.0465\n",
            "Edge (0, 13): 0.0424\n",
            "Edge (0, 17): 0.0401\n",
            "Edge (0, 19): 0.0459\n",
            "Edge (0, 21): 0.0401\n",
            "Edge (0, 31): 0.1273\n",
            "Edge (1, 2): 0.0232\n",
            "Edge (1, 3): 0.0077\n",
            "Edge (1, 7): 0.0074\n",
            "Edge (1, 13): 0.0124\n",
            "Edge (1, 17): 0.0187\n",
            "Edge (1, 19): 0.0146\n",
            "Edge (1, 21): 0.0187\n",
            "Edge (1, 30): 0.0323\n",
            "Edge (2, 3): 0.0224\n",
            "Edge (2, 7): 0.0252\n",
            "Edge (2, 8): 0.0092\n",
            "Edge (2, 9): 0.0308\n",
            "Edge (2, 13): 0.0076\n",
            "Edge (2, 27): 0.0412\n",
            "Edge (2, 28): 0.0228\n",
            "Edge (2, 32): 0.0690\n",
            "Edge (3, 7): 0.0034\n",
            "Edge (3, 12): 0.0123\n",
            "Edge (3, 13): 0.0149\n",
            "Edge (4, 6): 0.0048\n",
            "Edge (4, 10): 0.0030\n",
            "Edge (5, 6): 0.0030\n",
            "Edge (5, 10): 0.0048\n",
            "Edge (5, 16): 0.0294\n",
            "Edge (6, 16): 0.0294\n",
            "Edge (8, 30): 0.0098\n",
            "Edge (8, 32): 0.0304\n",
            "Edge (8, 33): 0.0404\n",
            "Edge (9, 33): 0.0296\n",
            "Edge (13, 33): 0.0678\n",
            "Edge (14, 32): 0.0241\n",
            "Edge (14, 33): 0.0347\n",
            "Edge (15, 32): 0.0241\n",
            "Edge (15, 33): 0.0347\n",
            "Edge (18, 32): 0.0241\n",
            "Edge (18, 33): 0.0347\n",
            "Edge (19, 33): 0.0594\n",
            "Edge (20, 32): 0.0241\n",
            "Edge (20, 33): 0.0347\n",
            "Edge (22, 32): 0.0241\n",
            "Edge (22, 33): 0.0347\n",
            "Edge (23, 25): 0.0198\n",
            "Edge (23, 27): 0.0105\n",
            "Edge (23, 29): 0.0067\n",
            "Edge (23, 32): 0.0223\n",
            "Edge (23, 33): 0.0327\n",
            "Edge (24, 25): 0.0042\n",
            "Edge (24, 27): 0.0187\n",
            "Edge (24, 31): 0.0401\n",
            "Edge (25, 31): 0.0421\n",
            "Edge (26, 29): 0.0045\n",
            "Edge (26, 33): 0.0543\n",
            "Edge (27, 33): 0.0305\n",
            "Edge (28, 31): 0.0149\n",
            "Edge (28, 33): 0.0246\n",
            "Edge (29, 32): 0.0233\n",
            "Edge (29, 33): 0.0298\n",
            "Edge (30, 32): 0.0171\n",
            "Edge (30, 33): 0.0268\n",
            "Edge (31, 32): 0.0414\n",
            "Edge (31, 33): 0.0534\n",
            "Edge (32, 33): 0.0082\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import networkx as nx\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# 创建示例图（根据图10.9）\n",
        "G = nx.Graph()\n",
        "edges = [('A', 'B'), ('A', 'C'), ('B', 'C'), ('B', 'D'), ('C', 'D'), ('C', 'E'), ('D', 'E'), ('E', 'F'), ('F', 'G'), ('F', 'H'), ('G', 'H'), ('H', 'I'), ('G', 'I')]\n",
        "G.add_edges_from(edges)\n",
        "\n",
        "# 计算邻接矩阵\n",
        "adj_matrix = nx.adjacency_matrix(G).todense()\n",
        "\n",
        "# 计算度矩阵\n",
        "degree_matrix = np.diag([val for (node, val) in G.degree()])\n",
        "\n",
        "# 计算拉普拉斯矩阵\n",
        "laplacian_matrix = degree_matrix - adj_matrix\n",
        "\n",
        "# 打印矩阵\n",
        "print(\"Adjacency Matrix:\\n\", adj_matrix)\n",
        "print(\"\\nDegree Matrix:\\n\", degree_matrix)\n",
        "print(\"\\nLaplacian Matrix:\\n\", laplacian_matrix)\n",
        "\n",
        "# 使用Girvan-Newman算法将图划分为K个社区的函数\n",
        "def girvan_newman_partition(G, K):\n",
        "    comp = girvan_newman(G)\n",
        "    limited = next(comp)\n",
        "    while len(limited) < K:\n",
        "        limited = next(comp)\n",
        "    return limited\n",
        "\n",
        "# 将图划分为K个社区\n",
        "K = 3\n",
        "communities = girvan_newman_partition(G, K)\n",
        "\n",
        "# 绘制带有社区的图\n",
        "pos = nx.spring_layout(G)\n",
        "colors = ['r', 'g', 'b', 'y', 'c', 'm']\n",
        "for i, community in enumerate(communities):\n",
        "    nx.draw_networkx_nodes(G, pos, nodelist=list(community), node_color=colors[i % len(colors)])\n",
        "nx.draw_networkx_edges(G, pos)\n",
        "nx.draw_networkx_labels(G, pos)\n",
        "plt.show()\n",
        "\n",
        "# 打印社区\n",
        "for i, community in enumerate(communities):\n",
        "    print(f\"Community {i+1}: {list(community)}\")\n"
      ],
      "metadata": {
        "id": "YCHWGrSMZOEg",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "0450127d-7fad-48bd-96fd-bce77bf0ab37"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Adjacency Matrix:\n",
            " [[0 1 1 0 0 0 0 0 0]\n",
            " [1 0 1 1 0 0 0 0 0]\n",
            " [1 1 0 1 1 0 0 0 0]\n",
            " [0 1 1 0 1 0 0 0 0]\n",
            " [0 0 1 1 0 1 0 0 0]\n",
            " [0 0 0 0 1 0 1 1 0]\n",
            " [0 0 0 0 0 1 0 1 1]\n",
            " [0 0 0 0 0 1 1 0 1]\n",
            " [0 0 0 0 0 0 1 1 0]]\n",
            "\n",
            "Degree Matrix:\n",
            " [[2 0 0 0 0 0 0 0 0]\n",
            " [0 3 0 0 0 0 0 0 0]\n",
            " [0 0 4 0 0 0 0 0 0]\n",
            " [0 0 0 3 0 0 0 0 0]\n",
            " [0 0 0 0 3 0 0 0 0]\n",
            " [0 0 0 0 0 3 0 0 0]\n",
            " [0 0 0 0 0 0 3 0 0]\n",
            " [0 0 0 0 0 0 0 3 0]\n",
            " [0 0 0 0 0 0 0 0 2]]\n",
            "\n",
            "Laplacian Matrix:\n",
            " [[ 2 -1 -1  0  0  0  0  0  0]\n",
            " [-1  3 -1 -1  0  0  0  0  0]\n",
            " [-1 -1  4 -1 -1  0  0  0  0]\n",
            " [ 0 -1 -1  3 -1  0  0  0  0]\n",
            " [ 0  0 -1 -1  3 -1  0  0  0]\n",
            " [ 0  0  0  0 -1  3 -1 -1  0]\n",
            " [ 0  0  0  0  0 -1  3 -1 -1]\n",
            " [ 0  0  0  0  0 -1 -1  3 -1]\n",
            " [ 0  0  0  0  0  0 -1 -1  2]]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Community 1: ['A']\n",
            "Community 2: ['B', 'E', 'C', 'D']\n",
            "Community 3: ['F', 'I', 'H', 'G']\n"
          ]
        }
      ]
    }
  ]
}